Initial data commit

Task/Sylvesters-sequence/Go/sylvesters-sequence.go

@@ -0,0 +1,34 @@
+package main
+
+import (
+    "fmt"
+    "math/big"
+)
+
+func main() {
+    one := big.NewInt(1)
+    two := big.NewInt(2)
+    next := new(big.Int)
+    sylvester := []*big.Int{two}
+    prod := new(big.Int).Set(two)
+    count := 1
+    for count < 10 {
+        next.Add(prod, one)
+        sylvester = append(sylvester, new(big.Int).Set(next))
+        count++
+        prod.Mul(prod, next)
+    }
+    fmt.Println("The first 10 terms in the Sylvester sequence are:")
+    for i := 0; i < 10; i++ {
+        fmt.Println(sylvester[i])
+    }
+
+    sumRecip := new(big.Rat)
+    for _, s := range sylvester {
+        sumRecip.Add(sumRecip, new(big.Rat).SetFrac(one, s))
+    }
+    fmt.Println("\nThe sum of their reciprocals as a rational number is:")
+    fmt.Println(sumRecip)
+    fmt.Println("\nThe sum of their reciprocals as a decimal number (to 211 places) is:")
+    fmt.Println(sumRecip.FloatString(211))
+}